Find the locus of the point of intersection of lines `xcosalpha+ysinalpha=a` and `xsinalpha-ycosalpha=b(alpha` is a variable).

Explanation

Consider the equation

`xcosα+ysinα=a`

`xsinα−ycosα=b`

Let `P(h,k)` be the point satisfying the equation then the above equation becomes

`hcosα+ksinα=a ....(1)`

`hsinα−kcosα=b ....(2)`

squaring and adding eq.(1) and (2),

`h^2cos^ 2α+k ^2sin ^2
...